Calculation of multifractal dimensions in spin chains
| Autor: | E. Bogomolny, Y. Y. Atas |
|---|---|
| Přispěvatelé: | Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS), Centre National de la Recherche Scientifique (CNRS)-Université Paris-Sud - Paris 11 (UP11), Regis, Géraldine |
| Jazyk: | angličtina |
| Rok vydání: | 2014 |
| Předmět: |
Physics
Basis (linear algebra) Statistical Mechanics (cond-mat.stat-mech) General Mathematics General Engineering General Physics and Astronomy FOS: Physical sciences Articles Nonlinear Sciences - Chaotic Dynamics 01 natural sciences Fractal dimension 010305 fluids & plasmas [PHYS.COND.CM-SM] Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] [NLIN.NLIN-CD] Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] 0103 physical sciences [NLIN.NLIN-CD]Nonlinear Sciences [physics]/Chaotic Dynamics [nlin.CD] Statistical physics Variety (universal algebra) Chaotic Dynamics (nlin.CD) [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics Wave function Condensed Matter - Statistical Mechanics Spin-½ |
| Zdroj: | Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934–1990) Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934–1990), Royal Society, The, 2014, 372, pp.20120520 |
| ISSN: | 0080-4614 |
| Popis: | It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the ground-state wave functions for a large variety of one-dimensional spin-1/2 models are multifractals in the natural spin-z basis. We present here the details of analytical derivations and numerical confirmations of these results. Comment: 25 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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